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Finding the Fourth Proportional to 5,674.57, 8,512.03 and 4,695.03

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Solution

The fourth proportional to 5,674.57, 8,512.03 and 4,695.03 is: 7,042.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674.57 : 8,512.03 = 4,695.03 : x
  2. Step 2: Convert to fraction form
    5,674.57/8,512.03 = 4,695.03/x
  3. Step 3: Cross multiply
    5,674.57x = 8,512.03 × 4,695.03
  4. Step 4: Simplify right side
    5,674.57x = 39,964,236.21
  5. Step 5: Solve for x
    x = 39,964,236.21/5,674.57
  6. Step 6: Final answer
    x = 7,042.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.